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Finding the Fourth Proportional to 9,167.64, 13,749.25 and 4,232.54

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Solution

The fourth proportional to 9,167.64, 13,749.25 and 4,232.54 is: 6,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.64 : 13,749.25 = 4,232.54 : x
  2. Step 2: Convert to fraction form
    9,167.64/13,749.25 = 4,232.54/x
  3. Step 3: Cross multiply
    9,167.64x = 13,749.25 × 4,232.54
  4. Step 4: Simplify right side
    9,167.64x = 58,194,250.60
  5. Step 5: Solve for x
    x = 58,194,250.60/9,167.64
  6. Step 6: Final answer
    x = 6,347.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.